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188065940 = 225233891051
BaseRepresentation
bin10110011010110…
…10100010010100
3111002212201222012
423031122202110
5341121102230
630354523352
74442351126
oct1315324224
9432781865
10188065940
11971817a7
1252b96558
132cc6932a
141ad97216
151179d395
hexb35a894

188065940 has 48 divisors (see below), whose sum is σ = 413562240. Its totient is φ = 71702400.

The previous prime is 188065937. The next prime is 188065987. The reversal of 188065940 is 49560881.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178415 + ... + 179465.

It is an arithmetic number, because the mean of its divisors is an integer number (8615880).

Almost surely, 2188065940 is an apocalyptic number.

188065940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188065940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206781120).

188065940 is an abundant number, since it is smaller than the sum of its proper divisors (225496300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

188065940 is a wasteful number, since it uses less digits than its factorization.

188065940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 188065940 is about 13713.7135743751. The cubic root of 188065940 is about 572.9324002702.

The spelling of 188065940 in words is "one hundred eighty-eight million, sixty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 389 460 778 1051 1556 1945 2102 3890 4204 5255 7780 8947 10510 17894 21020 24173 35788 44735 48346 89470 96692 120865 178940 241730 408839 483460 817678 1635356 2044195 4088390 8176780 9403297 18806594 37613188 47016485 94032970 188065940